Rubik's Cube Cracked Down to 26 Moves "They think they can use their brute-force search method [PDF] on all of the configurations that require 26 steps to find a quicker way to solve them. Even if they manage this feat, however, it will probably leave room for improvement. Most researchers believe that just 20 steps are enough to solve any Rubik's Cube, but no one has proved it yet." [Previously. See recent post on checkers.]
Like the much mefi'd Peter Callesen, Laura Cooperman carves up plain white paper into extremely gorgeous intricate designs. Sadly, outside of her primary website not many examples of her work can be found online.